대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제13권4호
  • /
  • Pages.751-757
  • /
  • 1998
  • /
  • 1225-1763(pISSN)
  • /
  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
권호 표지

IDEMPOTENTS IN QUASI-LATTICES

  • Hong, Young-Hee (Department of Mathematics Sookmyung Women′s University)
  • 발행 : 1998.10.01
PDF 다운로드
⟨ 이전 논문 다음 논문 ⟩

초록

Using idempotents in quasi-lattices, we show that the category Latt of lattices is both reflective and coreflective in the category qLatt of quasi-lattices and homomorphisms. It is also shown that a quasi-ordered set is a quasi-lattice iff its partially ordered reflection is a lattice.

키워드